This operation relates the external protocols in the numerator and denominator of the Crooks relation. In stochastic thermodynamics, the entropy production is proportional to the log of the following: the probability of a trajectory, over the probability of the trajectory under this operation. In quantum mechanics, this operation is an anti-unitary operator that [emphasize] commutes with the Hamiltonian. Spin-1/2 systems that are invariant under this (-5[1])operation satisfy (*) Kramers’s (-5[1])theorem. Magnetic fields break symmetry under this operation, (-5[1])which is unified (10[1])with symmetry under charge conjugation (-5[2])and parity (10[1])inversion. (10[2])Loschmidt’s (10[1])paradox asks how it is possible for Newton’s laws, which are invariant under this operation, to give rise to a quantity (-5[1])like entropy that only increases. For 10 points, name this operation that is analogized to playing a movie backward. (10[1])■END■ (10[5]0[10])